Efficient implementation of the MFS: The three scenarios - Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas (Journal of computational and applied mathematics, 2009)
Keywords: Calculus of variations and optimal control; Circulant matrices; Elliptic boundary value problems; Exact sciences and technology; Least-squares method; Mathematical analysis; Mathematics; Method of fundamental solutions; Numerical analysis; Numerical analysis. Scientific computation; Over-determined systems; Partial differential equations; Partial differential equations, boundary value problems; Sciences and techniques of general use; Under-determined systems; Variational methods for elliptic equations; Least-squares method; Method of fundamental solutions; Elliptic boundary value problems; Variational methods for elliptic equations; Over-determined systems; Circulant matrices; Under-determined systems; Fourier transformation; Approximation; Fast Fourier transformation; Fourier analysis; Boundary condition; Algorithm; Partial differential equation; Implementation; Discretization method; Fundamental solution; Numerical analysis; Elliptic equation; Boundary value problem; Variational equation; Applied mathematics; Least squares method; Dirichlet problem